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关于两个新型Hilbert不等式的推广
引用本文:赵长健.关于两个新型Hilbert不等式的推广[J].数学杂志,2000,20(4):413-416.
作者姓名:赵长健
作者单位:山东滨州师范专科学校数学系,滨州,256604
摘    要:众所周知,Hilbert不等式是一个有重要应用的不等式,1998年,B.G.Pachpatte给出了类似Hilbert级数不等式的两个新不等式,本文的主要工作是推广了这两个新个新不等式。

关 键 词:HILBERT不等式  JENSEN不等式  HOELDER不等式

GENERALIZATION ON TWO NEW HILBERT TYPE INEQUALITIES
ZHAO Chang-jian.GENERALIZATION ON TWO NEW HILBERT TYPE INEQUALITIES[J].Journal of Mathematics,2000,20(4):413-416.
Authors:ZHAO Chang-jian
Abstract:It is well known that the Hilbert inequality is an important inequality in applications. In 1998, two new inequalities similar to Hilbert inequality for series were given by B.G.Pachpatte. The main purpose of the present article is to generalize these two new inequalities.
Keywords:Hilbert inequality  Hlder inequality  Jensen inequality  
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